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question 9 of 10
richard and spiro are plumbers. for a big job at mr.
white's house, richard said he would charge $45
per hour. spiro said he would charge $150 for parts
and $35 per hour of work.
after how many hours of work would both plumbers
charge the same amount of money for the job?

15 hours of work would both plumbers  charge the same amount of money for the job.

Step-by-step explanation:

Let us assume the number of hours Richard works = m

Per hour charge = $45

So, the charge for working m hours = m x $45 = 45 m (1)

Let us assume the number of hours Spiro works = m

Per hour charge = $35

So, the charge for working m hours = m x $35 = 35 m

Also, the charge for parts = $150

So, total amount Spiro charges  = Cost for m hours  +  Charge for parts

= 35 m + $150  (2)

Now, for m hours as they charge the SAME AMOUNT.

⇒ From (1) and (2), we get

45 m = 35 m + $150

or, 45 m - 35 m = 150

or, 10 m = 150

⇒ m = 150/10 = 15

or, m = 15

Hence, 15 hours of work would both plumbers  charge the same amount of money for the job.

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step-by-step explanation:

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.